Abstract: By designing a suitable response system to a class of chaotic systems, we realise the linear and nonlinear generalized synchronizations for these chaotic systems by only transmitting a single variable. The method of obtaining the response system from chaotic system is proposed. Since chaos synchronization can be achieved by transmitting the single variable from driving system to response system, this method is more practical. Theoretical deduction and computer simulation show the effectiveness of the proposed method.

Keywords: 
• chaotic system /
• generalized synchronization /
• single driving variable